Q.1
If each interior angle of regular polygon is $135°$ then find the number of sides

Q.2
What will be the ratio of the sum of the interior angles and that of the exterior angles of an octagon?

Q.3
If the sum of the interior angles of a polygon is  $1080°$ , find the numbe of its sides

Q.4
If the angles of pentagon are in the ratio 1:2:3:5:9, then what is the value of the least (smallest) angle?

Q.5
What wil be the number of diagonals in a regular hexagon?

Q.6
In the given figure O is the centre of the circle. $\angle OBC=25°$ , then $\angle BAC$ is

Q.7
In the given figure O is the centre of the circle $\angle BAC=52°$ then $\angle OCD$ is

Q.8
In the given figure PQ=12cm, BQ=8cm then the length of the chord is

Q.9
AB is the diameter of the circle and O is its centre. CD and AB intersect in such a way that OE=EB and CE=6 cm, ED=2 cm. Find the radius of the circle .

Q.10
In the given figure AD, AE and BC are tangents. Then :

Q.11
In the given figure, the value of x is

Q.12
If ABCD is a cyclic quadrilateral then value of x is

Q.13
In the given figure the value of x is

Q.14
In the given figure O is the centre of the circle then value of x is ?

Q.15
What will be the value of x in the given figure?

Q.16
In the adjoining figure the value of x is ?

Q.17
In the adjoining figure find the value of $\angle QS$

Q.18
A secant drawn from an external point O, intersect the circle at A and B, such that OA = 4cm, OB = 9cm. Then what will be the length of the tangent drawn from this point on the circle?

Q.19
Two equal circles with radius r intersect in such a way that they pass through the centre of each other. Find the length of the common chord.

Q.20
In the adjoining figure O is the centre of the circle. If PA = 12cm, PC = 15cm and CD = 7cm, then find the length of AB

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